What is the total surface area of a closed cylinder of height 10cm and diameter 7cm? [Take \(\pi = \frac{22}{7}\)]

The formula for the total surface area of a cylinder is given by: `2πrh + 2πr^2` Where `r` is the radius of the circular base of the cylinder and `h` is its height. In this case, the diameter of the cylinder is given as 7cm. We need to find the radius of the cylinder first. We know that the diameter is 7cm, which means the radius is half of the diameter. `radius = 7/2 = 3.5cm` The height of the cylinder is given as 10cm. Now, we can substitute the values in the formula to find the total surface area of the cylinder. `2πrh + 2πr^2` `= 2 × (22/7) × 3.5 × 10 + 2 × (22/7) × 3.5^2` `= 220 + 77` `= 297cm^2` Therefore, the total surface area of the cylinder is 297cm^2. The answer is.